Can someone help me with astrophysics?

Question

How can one dtermine the temperature structure of a sunspot using only its continous spectrum?

Answer 1

by using da relation

(wavelength)x(T)=Constant

constant=Wein's constant=2.9x10^(-3)

by putting the value of wavelength and constant,temprature could be calculated.

Answer 2

This pertains to Wien's displacement law.  If you have the spectrum of a sunspot, and can determine the peak wavelength-- the wavelength at which most of the light is emitted at, you can very easily determine the temperature:

if we denote wavelength as y, temperature as T Wien's displacement law then becomes:

y=b/T

Where b is a constant (usually called Wien's displacement constant).

So, to determine the Temperature, we'd use:

T=b/y.

Hope this helps =)